Representation Theory of Symmetric Groups

Pierre-Loic Meliot (Universite Paris Sud, Orsay, France)

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English

Chapman & Hall/CRC
21 January 2023

Mathematical foundations; Algebra; Combinatorics & graph theory; Algorithms & data structures

Series: Discrete Mathematics and Its Applications

Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint.

This book is an excellent way of introducing today’s students to representation theory of the symmetric groups, namely classical theory. From there, the book explains how the theory can be extended to other related combinatorial algebras like the Iwahori-Hecke algebra.

In a clear and concise manner, the author presents the case that most calculations on symmetric group can be performed by utilizing appropriate algebras of functions. Thus, the book explains how some Hopf algebras (symmetric functions and generalizations) can be used to encode most of the combinatorial properties of the representations of symmetric groups.

Overall, the book is an innovative introduction to representation theory of symmetric groups for graduate students and researchers seeking new ways of thought.

By: Pierre-Loic Meliot (Universite Paris Sud Orsay France)
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 925g
ISBN: 9781032476926
ISBN 10: 1032476923
Series: Discrete Mathematics and Its Applications
Pages: 682
Publication Date: 21 January 2023
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

Meliot, Pierre-Loic

Reviews for Representation Theory of Symmetric Groups

The book will be most useful as a reference for researchers...I believe it is a valuable contribution to the literature on the symmetric group and related algebras. ~Mark J. Wildon, Mathematical Reviews, March 2018